Search a number
-
+
30133301310 = 23257167286411
BaseRepresentation
bin11100000100000101…
…011011000000111110
32212210001010022101200
4130010011123000332
5443203111120220
621502033120330
72114505556260
oct340405330076
985701108350
1030133301310
1111863510302
125a0b6b90a6
132ac2b98408
14165c027b30
15bb56aa890
hex70415b03e

30133301310 has 96 divisors (see below), whose sum is σ = 90075428352. Its totient is φ = 6846344640.

The previous prime is 30133301293. The next prime is 30133301311. The reversal of 30133301310 is 1310333103.

30133301310 is a `hidden beast` number, since 301 + 3 + 330 + 1 + 31 + 0 = 666.

It is a super-2 number, since 2×301333013102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30133301311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37996 + ... + 248415.

It is an arithmetic number, because the mean of its divisors is an integer number (938285712).

Almost surely, 230133301310 is an apocalyptic number.

30133301310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30133301310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45037714176).

30133301310 is an abundant number, since it is smaller than the sum of its proper divisors (59942127042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30133301310 is a wasteful number, since it uses less digits than its factorization.

30133301310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286598 (or 286595 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 30133301310 its reverse (1310333103), we get a palindrome (31443634413).

The spelling of 30133301310 in words is "thirty billion, one hundred thirty-three million, three hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 167 210 315 334 501 630 835 1002 1169 1503 1670 2338 2505 3006 3507 5010 5845 7014 7515 10521 11690 15030 17535 21042 35070 52605 105210 286411 572822 859233 1432055 1718466 2004877 2577699 2864110 4009754 4296165 5155398 6014631 8592330 10024385 12029262 12888495 18043893 20048770 25776990 30073155 36087786 47830637 60146310 90219465 95661274 143491911 180438930 239153185 286983822 334814459 430475733 478306370 669628918 717459555 860951466 1004443377 1434919110 1674072295 2008886754 2152378665 3013330131 3348144590 4304757330 5022216885 6026660262 10044433770 15066650655 30133301310